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A finite element modeling of piezoelectric materials with a superimposed stress
Author(s) -
Arockiarajan A.,
Delibas B.,
Menzel A.,
Seemann W.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510119
Subject(s) - piezoelectricity , finite element method , materials science , nonlinear system , compression (physics) , hysteresis , polarization (electrochemistry) , transverse plane , stress (linguistics) , mechanics , structural engineering , condensed matter physics , physics , composite material , engineering , chemistry , quantum mechanics , linguistics , philosophy
Based on the mechanism of domain switching, a three dimensional nonlinear finite element model for piezoelectric materials subjected to electromechancial loading is developed in this contribution. The finally considered model problem deals with differently oriented grains whereby uni‐axial, quasi‐static cyclic loading is applied. It is assumed that a crystal orientation switches if the reduction in free energy of the grain exceeds a critical energy barrier. The nonlinearity in the small electromechanical loading range is addresses via a polynomial probability function for domain switching. Hysteresis behavior is discussed taking the influence of a superimposed compression state into account. It is observed that the hysteresis loop flattens under the axial compression but elongates under the transverse compression. Irrespective of how the compression is applied, the remnant polarization and as well as the coercive electric field decrease. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)